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Recent questions tagged additionalproblem
Questions
Find the value $\tan 330^{\large\circ}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-a
easy
asked
May 21, 2014
by
sreemathi.v
1
answer
Find the value of $\mathrm{cosec}(-1410^{\large\circ})$
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-a
easy
asked
May 21, 2014
by
sreemathi.v
1
answer
Find the degree measure of $(-2)^c$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
If the arcs of the same length in two circles subtend angles of $60^{\large\circ}$ and $75^{\large\circ}$ at their respective centres,find the ratio of their radii
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
In right-angled triangle, the difference between the two acute angles is $(\large\frac{\pi}{15})^c$.Find the angles in degrees
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 20, 2014
by
sreemathi.v
1
answer
Evaluate : $\cot ^4\theta+\cot ^2\theta$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
1
answer
Find the radian measure of $-37^{\large\circ}30'$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
1
answer
Find the degree measure of $(\large\frac{7\pi}{12})^c$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-a
easy
asked
May 20, 2014
by
sreemathi.v
1
answer
The angles of a triangle are in the ratio 3 : 4 : 5.Find the smallest angle in degrees and the greatest angle in radians
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
1
answer
In a circle of diameter 50cm,the length of a chord is 25cm.Find the length of the minor arc of the chord
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 20, 2014
by
sreemathi.v
1
answer
Find the radius of the circle in which a central angle of $45^{\large\circ}$ intercepts an arc 132cm
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
1
answer
The wheel of a railway carriage is 40cm in diameter and makes 6 revolutions in a second. How fast is the train going?
sat
math
trigonometry
cbse
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
2
answers
In a polygon no three diagonals are concurrent.If the total number of points of intersection of diagonals interior to the polygon be 70,then the number of diagonals of the polygon is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q20
sec-c
difficult
asked
May 20, 2014
by
sreemathi.v
1
answer
The number of different matrices that can be formed with elements 0,1,2 or 3 each matrix having 4 elements ,is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q19
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
1
answer
In the decimal system of numeration the number of 6-digit numbers in which the sum of the digits is divisible by 5 is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q18
sec-a
easy
asked
May 20, 2014
by
sreemathi.v
1
answer
A five digit number divisible by 3 is to be formed using the numerals 0,1,2,3,4 and 5 without repetition.The total number of ways this can be done is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q17
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
1
answer
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that odd digits occupy even ositions
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q16
sec-b
medium
asked
May 20, 2014
by
sreemathi.v
1
answer
In a class of 20 students,every student had a hand shake with every other student.The total no of hand shakes were
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q15
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
The number of words of four letters containing equal number of vowels and consonants ,repetition allowed is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q14
sec-c
difficult
asked
May 19, 2014
by
sreemathi.v
1
answer
Four couples (husband and wife) decide to form a committee of four members.The number of different committees that can be formed in which no couple finds a place is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q13
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
A team of four students is to be selected from a total of 12 students.Total number of ways in which team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q12
sec-c
difficult
asked
May 19, 2014
by
sreemathi.v
1
answer
A variable name in certain computer language must be either a alphabet or a alphabet followed by a decimal digit.Total number of different variable names that can exist in that language is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q11
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
The number of possible outcomes in a throw of n ordinary dice in which atleast one of the dice shows and odd number is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q10
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
In an examination of a papers a candidate has to pass in more papers than the number of papers in which he fails in order to be successful.The number of ways in which he can be unsuccessful is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q9
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
If letters of the word 'KUBER' are written in all possible orders and arranged as in a dictionary,then rank of the word 'KUBER' will be
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q8
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
The numbers of five-digit telephone numbers having atleast one of their digits repeated
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q7
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
From 4 officers and 8 jawans,a committee of 6 is to be chosen to include exactly one officer.The number of such committees is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q6
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
The total number of 9 digit numbers which have all different digits is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q5
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
The number of arrangements of letters of the word BANANA in which the two N's do not appear adjointly is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q4
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
If $(k^2-k)C_2=(k^2-k)C_4$ then $k$ is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q3
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
A seven-digit number made up of all distinct digits 8,7,6,4,2,x and y is divisible by 3.Then possible number of order pair (x,y) is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q2
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
The number of ways of dividing 15 men and 15 women into 15 couples each consisting of a man and woman is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q1
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
Find points on the curve $y=x^2+1$ at which the slope of the tangent is equal to its $x$ coordinate.
cbse
class12
ch5
additionalproblem
q16
asked
May 1, 2014
by
meena.p
0
answers
Find the equation of normal to the curve $x^2+2y=8x-2 $ at the point $(6,5)$
cbse
class12
ch5
additionalproblem
q15
asked
May 1, 2014
by
meena.p
0
answers
Find the equation of the tangent to the curve $\sqrt x +\sqrt y =a $ at the point $\bigg( \large\frac{a^2}{4},\frac{a^2}{4} \bigg)$
cbse
class12
ch5
additionalproblem
q14
asked
May 1, 2014
by
meena.p
0
answers
Find the slope of the tangent to the curve $x^2+y^2=4x-2$at the point (3,1)
cbse
class12
ch5
additionalproblem
q13
asked
May 1, 2014
by
meena.p
1
answer
Verify Mean value theorem for the following functions: $(a)\;f(x)=x(x+4)^2\;on\;[0,4]\\ (b)\;f(x)= 2 \sin x +\sin 2x \;on\;[0,\pi] \\ (c)\;f(x)=x^3-2x^2-x+3\;in\;[0,1] \\ (d)\;f(x)=x +\large\frac{1}{x} \normalsize \;on \;[1,3]$
cbse
class12
ch5
additionalproblem
q12
asked
May 1, 2014
by
meena.p
0
answers
Verify Rolles theorem for the following functions: $(a) \; f(x)=x^2-5x+4\;on \;[0,4]\\ (b) \; f(x)=x(x-1)^2\;on \;[0,1]\\ (c) \; f(x)=x^3-7x^2+16x-12 \;on \;[2,3]\\ (d) \; f(x)=e^x(\sin x- \cos x)\;on \;[\large\frac{\pi}{4},\frac{5 \pi}{4} ] $
cbse
class12
ch5
additionalproblem
q11
asked
May 1, 2014
by
meena.p
0
answers
If $y= \sqrt {1-x^2}+x \sqrt {1-y^2} =1$ prove that $\large\frac{dy}{dx} =$$(-1) \sqrt {\large\frac{1-y^2}{1-x^2}}$
cbse
class12
ch5
additionalproblem
q10
asked
May 1, 2014
by
meena.p
0
answers
If $\sqrt{1-x^2}+\sqrt {1-y^2}=a (x-y),$ a being a constant prove that $\large\frac{dy}{dx} =\large\frac{\sqrt {1-y^2}}{\sqrt {1-x^2}}$
cbse
class12
ch5
additionalproblem
q9
asked
May 1, 2014
by
meena.p
0
answers
If $\sin x =y \sin (x+b)$ show that $\large\frac{dy}{dx} =\frac{\sin b}{\sin ^2 (x+b)}$
cbse
class12
ch5
additionalproblem
q8
asked
May 1, 2014
by
meena.p
0
answers
If $x=a(\theta - \sin \theta) \quad ; y= a(1+\cos \theta) $ find $\large\frac{d^2y}{dx^2}$ at $\theta =\large\frac{\pi}{2}$
cbse
class12
ch5
additionalproblem
sec-b
q7
asked
May 1, 2014
by
meena.p
1
answer
If $y=[x+\sqrt {x^2+1} ]^m$ show that $(x^2+1)y_2 +x y_1-m^2y=0$
cbse
class12
ch5
additionalproblem
q6
asked
May 1, 2014
by
meena.p
0
answers
If $x^my^n=(x+y)^{m+n}$ show that $\large\frac{dy}{dx}=\frac{y}{x}$
cbse
class12
ch5
additionalproblem
q5
asked
May 1, 2014
by
meena.p
0
answers
Differentiate the following function: $(x \cos x)^x +(x \sin x)^{\Large\frac{1}{x}}$
cbse
class12
ch5
additionalproblem
q4
q4-5
asked
May 1, 2014
by
meena.p
0
answers
Differentiate the following function: $x^{\large \sin x +\cos x}$
cbse
class12
ch5
additionalproblem
q4
q4-4
asked
May 1, 2014
by
meena.p
0
answers
Differentiate the following function: $x ^{\large \cos ^{-1}x}$
cbse
class12
ch5
additionalproblem
q4
q4-3
asked
May 1, 2014
by
meena.p
0
answers
Differentiate the following function: $\tan^{-1} \bigg( \large \frac{\cos x}{1+\sin x} \bigg)$
cbse
class12
ch5
additionalproblem
q4
q4-2
asked
May 1, 2014
by
meena.p
0
answers
Differentiate the following function: $ \tan ^{-1}( \sqrt{1+x^2}+x)$
cbse
class12
ch5
additionalproblem
q4
q4-1
asked
May 1, 2014
by
meena.p
0
answers
Show that $f(x) =|x -2| $ is continuous but not derivable at $x=2$
cbse
class12
ch5
additionalproblem
q3
asked
May 1, 2014
by
meena.p
0
answers
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